January 400 hours, February 300, March 200, April 600, May 800, June 300, July 200, August 400, September 300, October 200, November 100, December 300. Each judge works all 12 months and can handle at most 120 hours of casework per month. To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.